Least Common Multiple (LCM) of 101 and 82
The least common multiple (LCM) of 101 and 82 is 8282.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 101 and 82?
First, calculate the GCD of 101 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 82 = 1 remainder 19 |
| 2 | 82 ÷ 19 = 4 remainder 6 |
| 3 | 19 ÷ 6 = 3 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 154 | 12628 |
| 167 and 110 | 18370 |
| 70 and 106 | 3710 |
| 110 and 25 | 550 |
| 133 and 10 | 1330 |